Download - Factorisation of algebraic expressions 3
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SMP NEGERI 2 SINDANG INDRAMAYU
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I.FACTORISATION OF SQUARE FROM
a where a = 1 Suppose that the factors are p and q
So….. = ( x + p ) ( x + q ), p + q = b p. q = c
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Examples :
a) ( + p)( + q) P+q = 5, p.q = 6The factors of 6 are : 1, 2, 3, 6….find the factors those are the sum are 5So……..2.3 = 62+3= 5P= 2, q = 3
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And then ( + 3 ) + 2 )
b) = ( + p)( – q) p.q = p+q= 5 p = 7, q = 2, so……
= ( + 7)( – 2)
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Exercises :
1.Factorise the following expressiona) ))b) ) ))c) ))d) ) ))e) ))F) ))
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Next….g) ))h) ))i) ))j) ))k) 24 ))l) 60 ))m) 30 ))
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II.FACTORISATION OF SQUARE FROMa where a 1Remember that , where a = 1
So the factors are :( + p )( + q) , a.c = p.q and b = p+q
But if : a where a 1
So….. = (+ + )
= ( + ) ( + )
= (+ + )
Consider that, = b ………. and =
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Examples :a) 5
= b ………. and =
( + ) ( + ) = ( + ) ( + )
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= ( + ) ( + )= ( + (-2) )(5 + (-2))
=( ,
so , the factors are (
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2nd way :a) 5 but have to match to (-12) as the sum 4(5 2) ( = = (-2)() + ()(5) 5
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3rd way a) 5
5
5 (,
So the factors are (
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ExercisesCobalah selesaikan contoh soal berikut
1. 3
2.
3.
4.
5.
6.
7.
8.
9.
10. 10 + 27x
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Remember :
YOU CAN if you THINK YOU CAN
WHERE THERE IS WILL THERE IS A WAY………
Do you agree ……..? Good……….
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Buku sumber : Pelajaran MATEMATIKA 3 Untuk SLTP kelas 3
Penulis : Mochammad Nurdin dkkDepartemen Pendidikan dan KebudayaanProyek Pengembangan Buku dan Minat Baca Tahun Anggaran 1998/1999